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Sbornik: Mathematics, 2013, Volume 204, Issue 9, Pages 1307–1331
DOI: https://doi.org/10.1070/SM2013v204n09ABEH004341 (Mi sm8181) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the existence of a stationary measure for the stochastic system of the Lorenz model describing a baroclinic atmosphere

Yu. Yu. Klevtsova

Siberian Regional Hydrometeorological Research Institute, Novosibirsk
English version PDF (604 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/SM2013v204n09ABEH004341
Abstract: The paper is concerned with a nonlinear system of partial differential equations with parameters. This system describes the two-layer quasi-solenoidal Lorenz model for a baroclinic atmosphere on a rotating two-dimensional sphere. The right-hand side of the system is perturbed by white noise. Sufficient conditions on the parameters and the right-hand side are obtained for the existence of a stationary measure.
Bibliography: 25 titles.
Keywords: two-layer quasi-solenoidal Lorenz model for a baroclinic atmosphere, white noise perturbation, existence of a stationary measure.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-4907.2012.5
Received: 08.10.2012 and 15.01.2013
Bibliographic databases:
Document Type: Article
UDC: 517.955.4
MSC: Primary 35G55; Secondary 35Q86
Language: English
Original paper language: Russian
Citation: Yu. Yu. Klevtsova, “On the existence of a stationary measure for the stochastic system of the Lorenz model describing a baroclinic atmosphere”, Sb. Math., 204:9 (2013), 1307–1331
Citation in format AMSBIB
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\by Yu.~Yu.~Klevtsova
\paper On the existence of a~stationary measure for the stochastic system of the Lorenz model describing a~baroclinic atmosphere
\jour Sb. Math.
\yr 2013
\vol 204
\issue 9
\pages 1307--1331
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  • https://www.mathnet.ru/eng/sm/v204/i9/p73
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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